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Finding the Fourth Proportional to 15,882.48, 23,822.01 and 4,786.65

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Solution

The fourth proportional to 15,882.48, 23,822.01 and 4,786.65 is: 7,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.48 : 23,822.01 = 4,786.65 : x
  2. Step 2: Convert to fraction form
    15,882.48/23,822.01 = 4,786.65/x
  3. Step 3: Cross multiply
    15,882.48x = 23,822.01 × 4,786.65
  4. Step 4: Simplify right side
    15,882.48x = 114,027,624.17
  5. Step 5: Solve for x
    x = 114,027,624.17/15,882.48
  6. Step 6: Final answer
    x = 7,179.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.